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H.O.T.S Maths Questions for Olympiads

Conquer the Achievers Section. Practice multi-concept High Order Thinking Skills problems designed to test deep logical applications.

Q1. A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the ratio of the surface area of the original cube to the sum of the surface areas of the new smaller cubes?

A) 1 : 2
B) 1 : 4
C) 1 : 8
D) 2 : 1

Correct Answer: A (Volume ratio is 1:8, so side ratio is 1:2. Surface area is squared.)

Q2. If 30% of a certain number is 12.6, what is 75% of that same number?

A) 31.5
B) 32.5
C) 30.5
D) 33.5

Correct Answer: A [Number = 12.6 / 0.3 = 42. Then 75% of 42 = 31.5]

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